OOIR: Observatory of International Research

Papers

(The TQCC of Archive for Rational Mechanics and Analysis is 6. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	36
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	32
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	30
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	29
Chaotic Phenomena for Generalised N-centre Problems	29
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	28
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	22
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	22
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	22
Benjamin–Feir Instability of Stokes Waves in Finite Depth	21
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	20
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	20
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	20
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	19
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	18
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	18
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	18
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	16
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	16
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	15
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15

Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	15
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	14
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	14
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	14
The Gradient Flow for Entropy on Closed Planar Curves	14
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	14
Recovery of Coefficients in Semilinear Transport Equations	14
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	14
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	14
Grand-Canonical Optimal Transport	13
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	13
Asymptotic Stability of Two-Dimensional Couette Flow in a Viscous Fluid	13
Calogero Type Bounds in Two Dimensions	13
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	12
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	12
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	12
Minkowski Inequalities via Nonlinear Potential Theory	12
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	12
On the Regularity of Non-scattering Anisotropic Inhomogeneities	11
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	11
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	11
Coagulation Equations for Non-spherical Clusters	11
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	11
On the Existence of Linearly Oscillating Galaxies	11
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	11
Conducting Flat Drops in a Confining Potential	10
The Rayleigh–Bénard Problem for Compressible Fluid Flows	10
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	10
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	10
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	10
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	10
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	10
A Uniform Bound for Solutions to a Thermo-diffusive System	10
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
On the Regularity of Optimal Transports Between Degenerate Densities	9
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	9
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	9
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	9
Regularity and Nondegeneracy for Tumor Growth with Nutrients	9
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	9
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	9
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	9
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	9
Higher Order Boundary Harnack Principle via Degenerate Equations	8
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	8
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	8

Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	8
Linear Vortex Symmetrization: The Spectral Density Function	8
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	8
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	8
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	7
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	7
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	7
Regularity Structures for Quasilinear Singular SPDEs	7
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	6
Local Decay Estimates	6
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	6
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
A New Perspective on Wasserstein Distances for Kinetic Problems	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	6
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	6
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	6
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6